Revision Notes
OCR A Level Economics: Short-run costs: diminishing returns and cost curves (H460) – Revision Notes
Condensed revision notes on fixed and variable factors, diminishing returns, cost definitions and cost curve shapes for OCR A Level Economics.
- Subject
- Economics
- Level
- A LEVELS
- Topic
- Short-run costs: diminishing returns and cost curves
- Author
- Marlbridge Academic Team
- Updated
Aligned to OCR A Level Economics (H460), Version 3.0 (June 2026), for first assessment in 2021. Official specification .
Syllabus page (what it covers and how it is assessed): OCR A Level Economics.
Syllabus points this page covers
H460
- 3 Business objectives
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These notes condense the short-run cost statements in Component 1, Microeconomics, of the OCR A Level Economics (H460) specification, Version 3.0 (June 2026), for first assessment in 2021. For full explanations and a worked table, use the study guide. Test yourself with the practice questions. Course pages: the hub and the checklist. Check your gaps with the free diagnostics. Every figure below is invented.
Short run and long run
| Term | Meaning |
|---|---|
| Short run | Some input cannot be changed. Output moves only through variable inputs |
| Long run | Every input can be changed, so the firm’s scale can change |
| Fixed cost | Does not change with output. Paid at zero output (rent, hired machine, insurance) |
| Variable cost | Changes with output (materials, energy used, hourly wages) |
- The short run is defined by what can be changed, not by a number of months.
- It differs between industries and between firms.
- In the short run a firm cannot avoid its fixed costs.
Law of diminishing returns
Statement: with some inputs fixed, adding more of a variable input eventually raises output by less and less per extra unit.
- It needs a fixed factor, unchanged technology and equal-quality units of the variable factor.
- MP falls. Total output can still rise. If TP actually falls, that is negative returns.
- It often follows an increasing-returns stage, when the first workers specialise.
- Why it happens: fixed capital, space or equipment is shared by more and more workers.
- It is a short-run idea. Diseconomies of scale involve changing all factors and are taught separately.
Product measures
| Measure | Formula |
|---|---|
| TP | Total output |
| AP | TP ÷ number of units of the variable input |
| MP | Rise in TP from one more unit of the variable input |
AP rises while MP is above AP and falls when MP is below AP. MP cuts AP at AP’s highest point.
Cost definitions and formulas
| Cost | Formula | Notes |
|---|---|---|
| TFC | Given, or AFC × Q | Same at every output |
| TVC | Given, or AVC × Q | Zero at zero output |
| TC | TFC + TVC | Equals TFC at zero output |
| AC / ATC | TC ÷ Q, or AFC + AVC | Cost per unit |
| AFC | TFC ÷ Q | Always falls as Q rises |
| AVC | TVC ÷ Q | |
| MC | Rise in TC ÷ rise in Q | Equals the rise in TVC |
Here Q is output.
Method for a cost table
- Write TFC. It is the same in each row.
- Find TVC for each row from the data given.
- Add: TC = TFC + TVC.
- Divide by Q for AC, AFC and AVC.
- Find MC from the rise in TC over the rise in Q between rows.
- Check AFC + AVC = AC on one row.
Worked reminder. A small jam maker (illustrative) has fixed costs of £150 a day. At 30 jars, TVC is £210.
- TC = 150 + 210 = £360.
- AC = 360 ÷ 30 = £12.00. AFC = 150 ÷ 30 = £5.00. AVC = 210 ÷ 30 = £7.00.
- Check: 5.00 + 7.00 = 12.00.
- The 31st jar takes TC to £365, so MC = 365 − 360 = £5.00. This is below the AC of £12.00, so AC falls.
Working back from AC. If AC is £9 at 20 units and AFC is £4, then AVC = 9 − 4 = £5, TFC = 4 × 20 = £80, TVC = 5 × 20 = £100 and TC = 9 × 20 = £180.
Spotting diminishing returns in a table. A car-valeting firm (illustrative) has one pressure washer. Output with 1 to 5 cleaners is 5, 14, 22, 27 and 29 cars an hour.
- MP: 5, then 14 − 5 = 9, then 22 − 14 = 8, then 5, then 2.
- MP peaks at the second cleaner (9) and falls from the third (8). Diminishing returns begin at the third cleaner.
- AP: 5.00, 7.00, 7.33, 6.75 and 5.80. AP peaks at the third cleaner, where MP (8) is still above the previous AP of 7.00.
- If a cleaner costs £40 an hour and each car needs £0.50 of materials, MC at the second cleaner is 40 ÷ 9 + 0.50 = £4.94. At the third it is 40 ÷ 8 + 0.50 = £5.50. MC rises because MP falls.
Cost curve shapes
| Curve | Shape | Reason |
|---|---|---|
| TFC | Horizontal | Does not vary with output |
| TVC | From the origin, flat then steep | Slope is MC |
| TC | Parallel to TVC, higher by TFC | TC = TFC + TVC |
| AFC | Falls, never reaches zero | AFC × Q = TFC |
| AVC | U-shaped | Falls with high MP, rises with diminishing returns |
| AC | U-shaped, above AVC | AC = AVC + AFC |
| MC | Falls, then rises | Mirror of MP |
Order of minimum points as output rises: MC lowest, then AVC lowest, then AC lowest.
Rules
- MC below an average pulls the average down. MC above it pulls it up.
- So MC cuts AVC and AC at their lowest points.
- The vertical gap between AC and AVC is AFC. It narrows but never closes.
- The vertical gap between TC and TVC is TFC and does not change.
- Where MP is highest, MC is lowest. MC = wage ÷ MP when labour is the only variable cost.
What shifts which curve
| Change | Curves that move |
|---|---|
| Rise in rent or other fixed cost | TFC, TC, AFC and AC up. MC, TVC and AVC unchanged |
| Rise in wages or material price | TVC, TC, AVC, AC and MC up. TFC and AFC unchanged |
| Better technology or training (higher MP) | MC, AVC and AC shift down |
Evaluating the significance of diminishing returns
Use this chain: more variable input on fixed capacity, so MP falls, so MC and AVC rise, so unit costs rise and short-run expansion becomes costly.
Significance
- Firm: limits short-run expansion, raises the cost of extra output and may prompt investment in capacity.
- Other agents: crowded workplaces and overtime for staff, fixed-capacity public services for governments, fixed land for farming.
- Supply: higher output needs a higher price to cover higher MC.
Judgement factors
- Timescale: how quickly can capacity be added?
- Flexibility: outsourcing, shifts, hiring equipment.
- Demand: a firm well below capacity may not reach the diminishing stage.
- Technology and training: they raise MP and delay diminishing returns.
Always finish with a view: the law matters most to firms with large fixed capacity that is slow to change.
Must-know distinctions
- Diminishing returns versus negative returns: MP falling versus TP falling.
- Diminishing returns versus diseconomies of scale: one factor varied versus all factors varied.
- AC versus MC: cost per unit versus cost of the next unit.
- Fixed versus variable: depends on output, not on whether a cost ever changes.
Quick self-test
- Define the short run.
- Give one fixed and one variable cost for a small jam maker.
- Output rises from 12 to 20 units and TVC rises from £48 to £80. Calculate MC.
- TC is £250 at 25 units and AFC is £4. Calculate AVC.
- AFC is £6 at 40 units. Find TFC.
- MP is 8 for the 4th worker and 5 for the 5th. What does this show?
- State the relationship between MC and AC at AC’s lowest point.
- Why is the gap between TC and TVC constant?
- At 10 units AC is £15. MC of the 11th unit is £19. Does AC rise or fall?
- State two judgements that affect how far diminishing returns matter to a firm.
Answers
- The period in which the firm has some input that it cannot change.
- Fixed: kitchen rent. Variable: fruit or hourly wages.
- (80 − 48) ÷ (20 − 12) = 32 ÷ 8 = £4.00.
- AC = 250 ÷ 25 = £10. AVC = 10 − 4 = £6.00.
- 6 × 40 = £240.
- Diminishing returns: the extra output falls from 8 to 5, although total output may still rise.
- MC equals AC (MC cuts AC from below).
- The gap is TFC, which does not change with output.
- TC at 10 units is £150, so TC at 11 is £169 and AC = 169 ÷ 11 = £15.36. AC rises because MC is above AC.
- Any two: timescale for adding capacity, flexibility such as outsourcing, level of demand relative to capacity, changes in technology or training.
Where marks are usually lost
- Treating the short run as a calendar length rather than a period with a fixed input.
- Saying diminishing returns means output falls.
- Dividing TC by the change in output, or MC by the output level.
- Giving AFC a U shape or a minimum point. AFC falls throughout.
- Leaving the shift of a cost curve unexplained: name which curves move and which do not.
- Writing a list of effects of diminishing returns without a judgement.
- Confusing diminishing returns with diseconomies of scale.
- Not showing the formula or the working in a calculation.
Official syllabus
OCR, A Level in Economics (H460) specification, Version 3.0 (June 2026), for first assessment in 2021. Component 1 content, Competition and market power area of study: the short-run cost statements under the market structures topic.
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